Abstract

We present the complete solution of the following problem of G. P\'olya: Circular forest has a center at the origin and radius $R\geq 1$. A person is staying at the center and the trees of the radius $r$ are planted at all other lattice points of the forest. Determine the maximal value $\rho$ of the radius $r$ for which the person can see out of the forest and, in the case $r=\rho$, determine the directions in which he/she should look in order to see out of the forest.

Keywords: Lattice point, Pick's theorem.

MSC: 52C05

Pages:  47$-$50     

Volume  48 ,  Issue  1$-$2 ,  1996